What is the area of parallelogram rstu?
24 square units
26 square units
32 square units
38 square units

The correct answer is third option,

32 square units

Step-by-step explanation:

Points to remember

1). Distance formula

The distance between two points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² +(y2 -y1)²]

2. Area of parallelogram = bh

Where b - Length of parallelogram

h - Height of parallelogram

To find the distance of UT and RU

By using distance formula

UT = √[(x2 - x1)² +(y2 -y1)²]

 = √[(6 - 0)² +(2 - 0)²] = 5.6

RU = √[(x2 - x1)² +(y2 -y1)²]

 = √[(-4 - 0)² +(4 - 0)²] = 5.6

To find the area of parallelogram

Area = bh

  = 5.6 * 5.6

  ≈ 32 square units